"Question 14 Lakshmi is a cashier in a bank. She has currency notes of denominations Rs 100, Rs 50 and Rs 10, respectively. The ratio of the number of these notes is 2:3:5. The total cash with Lakshmi is Rs 4, 00,000. How many notes of each denomination does she have?
Linear Equations in One Variable Page 28"
Answers
Equations with linear expressions in one variable only are known as linear equations in one variable.
An algebraic equation is an equality involving variables. It has an equality sign(=). The expression on the left of the equality sign is the Left Hand Side (LHS). The expression on the right of the equality sign is the Right Hand Side (RHS).
In an equation the values of the expressions on the LHS and RHS are equal.
Transposition:
Any term of a equation may be taken from one side to other with the change in its sign, this does not affect the equality of the statement . This process is called transposition.
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Solution:
Let the numbers of ₹ 100 notes, ₹ 50 notes, and ₹ 10 notes will be 2x, 3x & 5x .
Amount of ₹ 100 notes = ₹ (100 × 2x) = ₹ 200x
Amount of ₹ 50 notes = ₹ (50 ×3x)= ₹ 150x
Amount of ₹ 10 notes = ₹ (10 × 5x) = ₹ 50x
The total amount is ₹ 400000.
(GIVEN)
200x +
150x + 50x = 400000
400x =
400000
x = 1000
so , number of notes of each denominations will be
Number of ₹ 100 notes = 2x
= 2 × 1000 = 2000
Number of ₹ 50 notes = 3x
= 3 × 1000 = 3000
Number of ₹ 10 notes = 5x
= 5 × 1000 = 5000
Hence, Number of ₹ 100 notes =2000
Number of ₹ 50 notes =3000
Number of ₹ 10 notes = 5000
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Hope this will help you....
Step-by-step explanation:
The ratio of the notes is : 2 : 3 : 5
Let her have 2 * N number of Rs 100 notes, 3 * N number of Rs 50 notes, and 5 * N number of Rs 10 notes respectively.
Then the total value of the currency notes will be:
2 N * Rs 100 + 3 N * Rs 50 + 5 N * Rs 10 = Rs 4, 00, 000
=> 200 N + 150 N + 50 N = Rs 4, 00, 000
=> 400 N = Rs 4, 00, 000
=> N = 1, 000
Hence, There are 2N = 2,000 notes of Rs 100 , 3N = 3,000 notes of Rs 50 and finally , 5 N = 5, 000 notes of Rs 10..